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Finding the Fourth Proportional to 9,228.63, 12,735.06 and 5,195.22

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Solution

The fourth proportional to 9,228.63, 12,735.06 and 5,195.22 is: 7,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.63 : 12,735.06 = 5,195.22 : x
  2. Step 2: Convert to fraction form
    9,228.63/12,735.06 = 5,195.22/x
  3. Step 3: Cross multiply
    9,228.63x = 12,735.06 × 5,195.22
  4. Step 4: Simplify right side
    9,228.63x = 66,161,438.41
  5. Step 5: Solve for x
    x = 66,161,438.41/9,228.63
  6. Step 6: Final answer
    x = 7,169.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.